Eucalypt clone modelling in agrosilvopastoral systems

Aguiar Júnior, Adênio Louzeiro de; Oliveira Neto, Silvio Nolasco de; Soares, Carlos Pedro Boechat; Müller, Marcelo Dias; Obolari, Amana Magalhães de Matos; Calsavara, Leonardo Henrique Ferreira

doi:10.1590/S1678-3921.pab2022.v57.02547

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Forestry, Original Article • Pesq. agropec. bras. 57 • 2022 • https://doi.org/10.1590/S1678-3921.pab2022.v57.02547 copy

Eucalypt clone modelling in agrosilvopastoral systems

Modelagem de clones de eucalipto em sistemas agrossilvipastoris

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

The objective of this work was to evaluate height-diameter, volumetric, and taper models to estimate the height, volume, and bole profile of trees of eucalypt clones (Eucalyptus grandis × Eucalyptus urophylla) in an agrosilvopastoral system. Data were collected from permanent plots in an eight year-old agrosilvopastoral system, composed by three eucalypt clones (VE01, VE06, and VE07), located in the municipality of Coronel Xavier Chaves, in the state of Minas Gerais, Brazil. Two height-diameter, three volumetric, and four taper models were fit to the data of each clone and compared to each other, in order to select the best-fitting one. The equations fitted well to the observed data, and those of the models of Campos, Schumacher-Hall, and Garay stood out as the best ones. In addition, Graybill’s F-test showed that the height-diameter and volumetric equations must be fitted separately for each genetic material. The model of Garay was the best taper model to estimate the bole profiles of all clones using a single equation.

Index terms:
crop-livestock-forest integration; genetic material; tree component; volume production

Height-diameter model	Clone	Parameter	Estimate	Standard error	p-value	Sy.x	R̅²
Campos et al. (1984)CAMPOS, J.C.C.; RIBEIRO, J.O.; PAULA NETO, F. Inventário florestal nacional, reflorestamento: Minas Gerais. Brasília: Instituto Brasileiro de Desenvolvimento Florestal, 1984. 126p.	Ve01	β0	3.3247	1.1136	<0.05	4.1533	0.4347
		β1	0.0360	0.0139	<0.05
		β2	−0.3041	0.3350	0.3729
	Ve06	β0	0.2348	1.1363	0.8379	3.1878	0.6506
		β1	0.0250	0.0070	<0.05
		β2	0.7320	0.3298	<0.05
	Ve07	β0	2.3481	0.7063	<0.05	3.3555	0.3456
		β1	−0.0141	0.0122	0.2593
		β2	0.3854	0.2100	0.0794
Curtis (1967)CURTIS, R.O. Height-diameter and height-diameter-age equations for second-growth Douglas-fir. Forest Science, v.13, p.365-375, 1967.	Ve01	β0	4.0492	0.3265	<0.05	4.0166	0.4746
	Ve01	β1	−20.2934	7.5276	<0.05	4.0166	0.4746
	Ve06	β0	4.1183	0.1839	<0.05	3.3602	0.6033
	Ve06	β1	−17.0066	4.4090	<0.05	3.3602	0.6033
	Ve07	β0	3.0106	0.2851	<0.05	3.4559	0.1883
	Ve07	β1	5.9046	6.2856	0.3569	3.4559	0.1883

Clone	Total tree height (Ht)					DBH
Clone	Minimum	Mean	Maximum	SD	CV (%)	Minimum	Mean	Maximum	SD	CV (%)
VE01	14.50	24.31	31.40	4.41	18.16	22.92	23.43	28.97	2.52	10.75
VE06	21.00	30.68	36.70	4.17	13.60	20.05	24.51	30.88	3.05	12.45
VE07	19.30	26.73	34.00	3.44	12.88	24.51	22.32	26.26	2.08	9.34

Volumetric model	Clone	Parameter	Estimate	Standard error	p-value	Sy.x	R̅²
Schumacher-Hall	Ve01	β₀	−9.4551	0.7751	<0.05	0.0415	0.9743
		β₁	2.3951	0.2395	<0.05
		β2	0.3726	0.2321	0.1595
	Ve06	β₀	−9.9858	1.1191	<0.05	0.1623	0.9371
		β₁	2.5983	0.4757	<0.05
		β2	0.3922	0.4417	0.3976
	Ve07	β₀	−7.9038	1.8435	<0.05	0.0427	0.9215
		β₁	2.2001	0.3324	<0.05
		β2	0.0971	0.3808	0.8070
Spurr	Ve01	β₀	−10.3779	1.5071	<0.05	0.0663	0.9223
	Ve01	β₁	1.0204	0.1548	<0.05	0.0663	0.9223
	Ve06	β₀	−11.9540	−8.7727	<0.05	0.1578	0.9519
	Ve06	β₁	1.1859	8.9668	<0.05	0.1578	0.9519
	Ve07	β₀	−10.0142	2.0203	<0.05	0.0673	0.8226
	Ve07	β₁	0.9776	0.2089	<0.05	0.0673	0.8226
Koperzky-Gehrhardt	Ve01	β₀	−0.1441	0.0675	0.0701	0.0461	0.9629
	Ve01	β₁	0.0011	0.0001	<0.05	0.0461	0.9629
	Ve06	β₀	−0.4815	0.1614	<0.05	0.1835	0.9345
	Ve06	β₁	0.0019	0.0002	<0.05	0.1835	0.9345
	Ve07	β₀	−0.0466	0.0751	0.5541	0.0424	0.9381
	Ve07	β₁	0.0010	0.0001	<0.05	0.0424	0.9381

Taper model	β₀	β₁	β2	β₃	SQRes	r_ŷy	Bias	RQEM
Demaerschalk	0.3884	1.0187	−1.1641	1.0373	1398.61	0.9665	−0.0604	1.7972
Kozak	1.2803	−5.5672	7.2272	-	1324.30	0.9683	−0.0392	1.7488
Ormerod	1.2000	2.0442	-	0.5000	1533.04	0.9632	−0.2810	1.8816
Garay	1.2401	4.9543	0.1929	0.4993	1172.35	0.9720	−0.0415	1.6454

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